Double Pants Decompositions Revisited

Felikson, A.; Natanzon, S.

Abstract

Double pants decompositions were introduced by the authors in 2011, together with a flip-twist groupoid acting on these decompositions. It was shown that flip-twist groupoid acts transitively on a certain topological class of the decompositions, however, recently Randich discovered a serious mistake in the proof. In this note we present a new proof of the result, accessible without reading the initial paper.

Citation

Felikson, A., & Natanzon, S. (2017). Double Pants Decompositions Revisited. Moscow mathematical journal, 17(1), 51-58

• Journal Article Type: Article
• Acceptance Date: Feb 25, 2017
• Online Publication Date: Mar 20, 2017
• Publication Date: Jan 1, 2017
• Deposit Date: May 5, 2017
• Publicly Available Date: May 8, 2017
• Journal: Moscow Mathematical Journal.
• Print ISSN: 1609-3321
• Electronic ISSN: 1609-4514
• Publisher: Independent University of Moscow
• Peer Reviewed: Peer Reviewed
• Volume: 17
• Issue: 1
• Pages: 51-58
• Public URL: https://durham-repository.worktribe.com/output/1388146
• Publisher URL: http://www.mathjournals.org/mmj/2017-017-001/2017-017-001-004.html
• Related Public URLs: https://arxiv.org/abs/1509.08066